Symmetries of the Amplitude Equations of an Inextensional Beam With Internal Resonance

[+] Author and Article Information
Z. C. Feng

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

L. G. Leal

Department of Chemical and Nuclear Engineering, University of California at Santa Barbara, Santa Barbara, CA 93106

J. Appl. Mech 62(1), 235-238 (Mar 01, 1995) (4 pages) doi:10.1115/1.2895911 History: Received October 07, 1993; Revised March 23, 1994; Online October 30, 2007


We study the symmetries admitted by the amplitude equations governing the nonlinear nonplanar parametric responses of an inextensional beam (Nayfeh and Pai, 1989). As a result of these symmetries, the differential equations can be integrated in two limiting cases.

Copyright © 1995 by The American Society of Mechanical Engineers
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